In a survey of 150 people, 90 like tea, 60 like coffee, and 30 like both. How ma
Practice Questions
Q1
In a survey of 150 people, 90 like tea, 60 like coffee, and 30 like both. How many people like neither tea nor coffee?
30
60
90
120
Questions & Step-by-Step Solutions
In a survey of 150 people, 90 like tea, 60 like coffee, and 30 like both. How many people like neither tea nor coffee?
Step 1: Identify the total number of people surveyed, which is 150.
Step 2: Identify how many people like tea, which is 90.
Step 3: Identify how many people like coffee, which is 60.
Step 4: Identify how many people like both tea and coffee, which is 30.
Step 5: Use the inclusion-exclusion principle to find the number of people who like either tea or coffee. This is calculated as: 90 (tea) + 60 (coffee) - 30 (both) = 120.
Step 6: To find the number of people who like neither tea nor coffee, subtract the number of people who like either from the total number of people surveyed: 150 - 120 = 30.
